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krok68 [10]
4 years ago
14

of the following options, what could be a possible first step in solving the equation 8x 3 = 2x − 15? adding 8x to both sides of

the equation adding 15 to both sides of the equation adding 3 to both sides of the equation adding 2x to both sides of the equation
Mathematics
2 answers:
sesenic [268]4 years ago
7 0
Adding 15 to both sides. In order to get it to the opposite side of the equal sign, you must do its opposite. You can't add 8x to both sides, because the opposite of positive 8x is negative 8x and that's not what they're asking. The opposite of negative 15 is positive 15, so it works. Opposite of positive 3 is negative three, and they're wanting a positive, so it will not work. Adding 2x wouldn't work, because it's already positive..
vladimir2022 [97]4 years ago
6 0

Answer:

adding 15 to both sides of the equation

Step-by-step explanation:

Find the possible first step in solving the equation 8x+3 = 2x - 15

To eliminate any variable or constant we always do opposite operation

adding 8x to both sides of the equation : Opposite of 8x is -8x, Subtract -8x to remove 8x

adding 15 to both sides of the equation: opposite of -15 is +15 so we add 15 on both sides

adding 3 to both sides of the equation: opposite of 3 is -3, so subtract 3 on both sides

adding 2x to both sides of the equation: opposite of 2x is -2x, so we subtract 2x on both sides

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You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate.
son4ous [18]

Answer:

a. How many bowls could you glaze?

6 bowls

How many plates could you glaze?

10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

How many plates can you glaze?

2 plates

How much glaze will be left over?

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c. How many of each object could you glaze so that there is no glaze left over? Explain how you found your answer.

4 4/23 bowls and 4 4/23 plates

Step-by-step explanation:

We are told in the question

Number of pints of glaze = 6 pints

Number of pints to glaze a bowl= 7/8 of pint

Number of pints to glaze a plate = 9/16 of a pint

a.

How many bowls could you glaze?

7/8 pint = 1 bowl

6 pints = x

Cross Multiply

x = 6 pints/ 7/8

= 6 × 8/7

= 48/7

= 6.8571428571 bowls

We can only glaze whole numbers of a bowl, hence, we can only glaze 6 bowls

How many plates could you glaze?

9/16 pint = 1 bowl

6 pints = y

y = 6 pints/ 9/16

= 6 × 16/9

= 10.666666667 plates

We can only glaze whole number of a plate, hence, we can only glaze 10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

1 bowl = 7/8 pints

5 bowls = z

Cross Multiply

z = 5 × 7/8pints

= 4 3/8 pints of glaze would be used for bowls

How many plates can you glaze?

The rest is for plates, hence:

The amount of glaze left for plates is calculated as:

6 pints - 4 3/8

1 5/8 pints of glaze would be left over to glaze plates.

So therefore,

9/16 pints = 1 plate

1 5/8 pints =

= 2 8/9

Hence we can only glaze 2 plates

How much glaze will be left over?

2 8/9 pints - 2 pints

= 8/9 pints of glaze.

c. How many of each object could you glaze so that there is no glaze left over?

We have 6 pints of glaze

Number of pints to glaze a bowl= 7/8 of pint

Number of pints to glaze a plate = 9/16 of a pint

Let the number of each objects be represented by x

7/8 × x + 9/16 × x = 6 pints

= 4 4/23 bowls and 4 4/23 plates

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